5.2x+10=7.5x+3.5

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Solution for 5.2x+10=7.5x+3.5 equation:


Simplifying
5.2x + 10 = 7.5x + 3.5

Reorder the terms:
10 + 5.2x = 7.5x + 3.5

Reorder the terms:
10 + 5.2x = 3.5 + 7.5x

Solving
10 + 5.2x = 3.5 + 7.5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7.5x' to each side of the equation.
10 + 5.2x + -7.5x = 3.5 + 7.5x + -7.5x

Combine like terms: 5.2x + -7.5x = -2.3x
10 + -2.3x = 3.5 + 7.5x + -7.5x

Combine like terms: 7.5x + -7.5x = 0.0
10 + -2.3x = 3.5 + 0.0
10 + -2.3x = 3.5

Add '-10' to each side of the equation.
10 + -10 + -2.3x = 3.5 + -10

Combine like terms: 10 + -10 = 0
0 + -2.3x = 3.5 + -10
-2.3x = 3.5 + -10

Combine like terms: 3.5 + -10 = -6.5
-2.3x = -6.5

Divide each side by '-2.3'.
x = 2.826086957

Simplifying
x = 2.826086957

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